**Suggested Approach and Solution:-**

Draw a diagram. Let’s assume that the special woman (W*) is at the 12 o’clock reference position. [If not, we can always rotate our heads or rotate the table so that she is.]

Together with the two lucky(?) men M

_{1}and M_{2}, they form one entity. There are^{3}C_{2}x 2!=

^{3}P_{2}= 6 ways to*choose**and arrange*these two men to sit besides this special woman. The other 4 persons can arrange themselves relative to the reference entity in 4! = 24 ways (this is same as (5 – 1)! or^{5!}/_{5}). Hence the number of ways = 6 x 24 = 144.
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